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Percentage Increase Decrease Calculator Worksheet

Percentage Change Formula:

\[ \text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

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1. What is Percentage Change?

Percentage change measures the degree of change over time. It's used to compare an old value to a new value, expressing the difference as a percentage of the old value. This calculation is fundamental in finance, economics, statistics, and many scientific fields.

2. How Does the Calculator Work?

The calculator uses the percentage change formula:

\[ \text{Percentage Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

Where:

Explanation: The formula calculates what percentage the difference between the new and old values is relative to the old value. A positive result indicates an increase, while a negative result indicates a decrease.

3. Practical Applications

Details: Percentage change is widely used in:

4. Using the Calculator

Tips:

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage change and percentage difference?
A: Percentage change compares two values over time (old vs new), while percentage difference compares two simultaneous values without time component.

Q2: How do I interpret a negative percentage change?
A: A negative percentage change indicates a decrease from the old value to the new value.

Q3: Why do I get an error when old value is zero?
A: The formula involves division by the old value, which is mathematically undefined when the old value is zero.

Q4: Can I use this for percentage increase calculations?
A: Yes, when the new value is greater than the old value, the result will be a positive percentage (increase).

Q5: How accurate is the calculation?
A: The calculator provides results rounded to 2 decimal places, which is sufficient for most practical applications.

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